Hardy-Ramanujan asymptotic formula for the unrestricted partition function: p(n) ~ exp(pi*sqrt(2n/3)) / (4 n sqrt 3) as n -> infinity. Sharpened to an exact convergent series by Rademacher in 1937 using the circle method.
Hardy-Ramanujan asymptotic formula for the unrestricted partition function: p(n) ~ exp(pi*sqrt(2n/3)) / (4 n sqrt 3) as n -> infinity. Sharpened to an exact convergent series by Rademacher in 1937 using the circle method.